ANALYTIC METHOD FOR INVERSING THE OPEN BOUNDARY CONDITIONS IN A SEMI-CLOSED SEA AREA—CASE I FOR INVERSING THE TIDAL LEVELS AT OPEN BOUNDARY  

作　　者：ZHANGQing-hua YINXun-qiang MAJian QUYuan-yuan 

机构地区：[1]KeyLaboratoryofMarineScienceandNumericalModeling,TheFirstInstituteofOceanography,StateOceanicAdministration,Qingdao266061,China [2]KeyLaboratoryofMarineScienceandNumericalModeling,TheFirstInstituteofOceanography,StateOceanicAdministration,Qingdao266061,China

出　　处：《Journal of Hydrodynamics》2004年第5期590-595,共6页水动力学研究与进展B辑（英文版）

基　　金：theNationalNaturalScienceFoundationofChina (GrantNos :4 0 176 0 0 8,4 9736 190 )andtheMajorStateBasicResearchDevelopmentProgramofChina (GrantNo :G19990 4 380 0 )

摘　　要：In this paper, a computational case was employed to describe thecomputational procedure for inversing the tidal level open boundary conditions using an analyticmethod. The area for finding the solution is a circular area with a circular arc with the openingangle 60°-being the open boundary and the other circular arc being the solid wall boundary.Proceeding from the reestablished elliptic partial differential equation satisfied by the tidallevel function, the extended spectrum method was used to derive the general solution of the equationfor the sea of constant depth, and the impermeable solid wall condition (the second class boundarycondition) and the adequately specified open boundary conditions were then applied to determine theundetermined coefficients of the general solution, thus obtaining the tidal level distributionfunction. In this way, both the first and second class boundary values at the solid wall boundarywere obtained. With the above boundary values as the boundary conditions, the tidal level values atthe open boundary were then inversed by means of the general solution of tidal wave equation. Thevalidity of inversion method could be verified by comparing the inversed tidal level distributionswith the originally specified open boundary values.In this paper, a computational case was employed to describe thecomputational procedure for inversing the tidal level open boundary conditions using an analyticmethod. The area for finding the solution is a circular area with a circular arc with the openingangle 60°-being the open boundary and the other circular arc being the solid wall boundary.Proceeding from the reestablished elliptic partial differential equation satisfied by the tidallevel function, the extended spectrum method was used to derive the general solution of the equationfor the sea of constant depth, and the impermeable solid wall condition (the second class boundarycondition) and the adequately specified open boundary conditions were then applied to determine theundetermined coefficients of the general solution, thus obtaining the tidal level distributionfunction. In this way, both the first and second class boundary values at the solid wall boundarywere obtained. With the above boundary values as the boundary conditions, the tidal level values atthe open boundary were then inversed by means of the general solution of tidal wave equation. Thevalidity of inversion method could be verified by comparing the inversed tidal level distributionswith the originally specified open boundary values.

关 键 词：semi-closed sea open boundary condition extended spectrum method generalsolution of equation in-version 

分 类 号：O175[理学—数学]